The Kruskal-Wallis test is to be used to determine whether there is a significant difference in the satisfaction rating (alpha = 0.05)between three brands of boxed cake mix.Shoppers were asked to rate their satisfaction on various attributes and an aggregate satisfaction score ranging from 1-50 was computed.The following data were obtained: For this situation,the critical (table)chi-square value is _______.
A) 15.507
B) 7.815
C) 9.488
D) 5.991
E) 3.991

Question

The Kruskal-Wallis test is to be used to determine whether there is a significant difference in the satisfaction rating (alpha = 0.05)between three brands of boxed cake mix.Shoppers were asked to rate their satisfaction on various attributes and an aggregate satisfaction score ranging from 1-50 was computed.The following data were obtained:  For this situation,the critical (table)chi-square value is _______.
A) 15.507 
B) 7.815 
C) 9.488 
D) 5.991 
E) 3.991

Quizplus · Accepted Answer

To find the critical chi-square value for the Kruskal-Wallis test with alpha = 0.05 and three groups, we need to consult a chi-square distribution table with 2 degrees of freedom (number of groups minus 1). The critical value for a chi-square distribution with 2 degrees of freedom and alpha = 0.05 is 5.991. Therefore, the correct answer is D.

The Kruskal-Wallis Test Is to Be Used to Determine Whether